Question

Решите систему уравнений методом подставки: а) {х=10у, б) {у=-2,5х, {2х+3у=46 {5х+4у=75​ Смотреть ответ alexanderbuldozer alexanderbuldozer Ответ: a) x=20 y=2 b) x=-15 y=37,5 Объяснение: a) 2×10y+3y=46 20y+3y=46 23y=46 y=46÷23 y=2 x=10×2 x=20 b) 5x + 4× -2,5=75 5x - 10x=75 -5x=75 x=75÷ -5 x = -15 y = -2,5 × -15 y = 37,5 спасибо

Answer 1

Solution to the System of Equations using the Substitution Method:

To solve the system of equations using the method of substitution, we will substitute one variable in terms of the other and then solve for the remaining variable.

a) Equations: - x = 10y - 2x + 3y = 46

To solve this system, we will substitute the value of x from the first equation into the second equation:

Substituting x = 10y into the second equation: - 2(10y) + 3y = 46 - 20y + 3y = 46 - 23y = 46 - y = 46/23 - y = 2

Now, substitute the value of y back into the first equation to find the value of x: - x = 10(2) - x = 20

Therefore, the solution to the system of equations is: - x = 20 - y = 2

b) Equations: - y = -2.5x - 5x + 4y = 75

To solve this system, we will substitute the value of y from the first equation into the second equation:

Substituting y = -2.5x into the second equation: - 5x + 4(-2.5x) = 75 - 5x - 10x = 75 - -5x = 75 - x = 75/-5 - x = -15

Now, substitute the value of x back into the first equation to find the value of y: - y = -2.5(-15) - y = 37.5

Therefore, the solution to the system of equations is: - x = -15 - y = 37.5

I hope this helps! Let me know if you have any further questions.